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In computer science, abstract interpretation is a theory of sound approximation of the semantics of computer programs, based on monotonic functions over ordered sets, especially lattices. It can be viewed as a partial execution of a computer program which gains information about its
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See moreThis section illustrates abstract interpretation by means of real-world, non-computing examples.
Consider the people in a conference room. Assume a unique identifier for each person in the room, like a...
See moreGiven a programming or specification language, abstract interpretation consists of giving several semantics linked by relations of abstraction. A semantics is a mathematical
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See moreOne can assign to each variable x available at a given program point an interval [Lx, Hx]. A state assigning the value v(x) to variable x will be a concretization of these intervals if for all x, v(x) is in [Lx, Hx]. From the intervals [Lx, Hx] and [Ly, Hy] for
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See moreLet L be an ordered set, called a concrete set and let L′ be another ordered set, called an abstract set. These two sets are related to each other by defining total functions that map elements from
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